a deep dive into uniswap v3
concentrated liquidityrecap on AMM. the price of asset X is defined as\[ \tag{1}P = y/x\] where y is asset quantity of asset Y, and x is asset quantity of X.since\[ \tag{2}L^{2} = x*y\…
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math
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polynomials
IntroductionLet \(A(X)\) be a polynomial over \(\mathbb{F}_p\) with formal indeterminate \(X\). As an example, $$A(X) = a_0 + a_1 X + a_2 X^2 + a_3 X^3$$ defines a degree-\(3\) polynomial. …
Read articlemulti scalar multiplication (MSM)
ProblemLet \( \mathbb{G}\) be a group of order \(p=2^{\lambda}\)(\(\lambda\) would be the number of bits of the prime). Give \(n\) scalars \(e_i\) and \(n\) EC points \(P_i\), calculate \(P…
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Fourier Seriesinnter product of two functions\[ <f(x), g(x)> = \int_{a}^{b} f(x) \bar{g}(x)dx\]\(\bar{g}\) is the congugate of g on complex number system Fourier series definitionlet \(f(x)…
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